What is the Greatest Common Factor of 4900 and 4908?

Greatest common factor (GCF) of 4900 and 4908 is 4.

GCF(4900,4908) = 4

We will now calculate the prime factors of 4900 and 4908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4900 and 4908.

How to find the GCF of 4900 and 4908?

We will first find the prime factorization of 4900 and 4908. After we will calculate the factors of 4900 and 4908 and find the biggest common factor number .

Step-1: Prime Factorization of 4900

Prime factors of 4900 are 2, 5, 7. Prime factorization of 4900 in exponential form is:

4900 = 2² × 5² × 7²

Step-2: Prime Factorization of 4908

Prime factors of 4908 are 2, 3, 409. Prime factorization of 4908 in exponential form is:

4908 = 2² × 3¹ × 409¹

Step-3: Factors of 4900

List of positive integer factors of 4900 that divides 4900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450

Step-4: Factors of 4908

List of positive integer factors of 4908 that divides 4900 without a remainder.

1, 2, 3, 4, 6, 12, 409, 818, 1227, 1636, 2454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4900 and 4908. The biggest common factor number is the GCF number.
So the greatest common factor 4900 and 4908 is 4.

Also check out the Least Common Multiple of 4900 and 4908